664801200 has 720 divisors, whose sum is σ = 2916765696. Its totient is φ = 136857600.

The previous prime is 664801171. The next prime is 664801213. The reversal of 664801200 is 2108466.

664801200 is a `hidden beast` number, since 6 + 648 + 0 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17967582 + ... + 17967618.

Almost surely, 2^664801200 is an apocalyptic number.

664801200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664801200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458382848).

664801200 is an abundant number, since it is smaller than the sum of its proper divisors (2251964496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

664801200 is a wasteful number, since it uses less digits than its factorization.

664801200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 664801200 is about 25783.7390616644. The cubic root of 664801200 is about 872.7648859263.

Adding to 664801200 its reverse (2108466), we get a palindrome (666909666).

The spelling of 664801200 in words is "six hundred sixty-four million, eight hundred one thousand, two hundred".